Given numbers are 930,934,232,828,460

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 930,934,232,828,460 is 3476217240.

Find LCM of 930,934,232,828,460 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 3 x 5 x 23 x 31 x 467 x 58 x 3 x 1 = 3476217240

Therefore, the lowest common multiple of 930,934,232,828,460 is 3476217240.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

930 x 934 x 232 x 828 x 460 = 76754876659200

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

934 : 1, 2, 467, 934

232 : 1, 2, 4, 8, 29, 58, 116, 232

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 930,934,232,828,460, is 2.

Now, the common factors can be found like this.

930:2x 3x 5x 31

934:2x 467

232:2x 2x 2x 29

828:2x 2x 3x 3x 23

460:2x 2x 5x 23

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2x 2x 3x 5x 23 = 11040

Therefore, the value for common factors is 11040.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 76754876659200/(2x11040)

LCM = 76754876659200/22080

LCM = 3476217240

Thus, we can understand that the LCM of 930,934,232,828,460 is 3476217240.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 627, 182, 233, 322, 140
• LCM of 527, 161, 184, 120, 470
• LCM of 108, 672, 852, 832, 580
• LCM of 631, 483, 384, 169, 684
• LCM of 724, 912, 594, 814, 164

1. What is the LCM of 930, 934, 232, 828, 460?

Answer: LCM of 930, 934, 232, 828, 460 is 3476217240.

2. How to calculate the LCM of 930, 934, 232, 828, 460?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 930, 934, 232, 828, 460.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.